Finite Group DatabasebetaFinite Group Databasebeta| order | 1376 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic43 |
| Sylow | C43 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1376 |
356 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14582661, #14582662, #14582667, … |
| maximal normal subgroup of | #14582661, #14582662, #14582667, … |
| maximal quotient of | C2×C43⋊#95, C4×C4⋊Dic43, #14582759, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1376, 101);